Gateways Unveiling The Mysteries Of Topological Graph Theory
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Gateways Unveiling The Mysteries Of Topological Graph Theory
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-09
Gateways Unveiling The Mysteries Of Topological Graph Theory written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-09 with Mathematics categories.
Embark on a captivating journey through the world of topological graph theory, a captivating field that unveils the profound interplay between topology and graph theory. This comprehensive and engaging book offers a comprehensive exposition of the fundamental concepts, diverse applications, and recent advancements in topological graph theory, catering to a wide audience of mathematicians, computer scientists, and anyone fascinated by the intricate world of graphs and surfaces. Unravel the mysteries of graph imbeddings, delving into the intricate connections between graphs and surfaces. Explore the concept of genus, a captivating measure of the complexity of graph imbeddings, and uncover the profound implications of Ringel-Youngs theorem, a groundbreaking result that revolutionized the field of graph theory. Discover the wide-ranging applications of topological graph theory, spanning diverse fields such as computer science, network analysis, physics, and biology. Learn how topological graph theory empowers us to solve complex problems in network design, data analysis, and scientific modeling. Navigate through a wealth of captivating examples, illuminating figures, and thought-provoking exercises, all carefully crafted to enhance your understanding and deepen your appreciation for topological graph theory. Engage with the cutting-edge research and unsolved problems at the forefront of topological graph theory, gaining insights into the future directions and open challenges in this captivating field. Written with clarity and rigor, this book serves as an indispensable resource for mathematicians, computer scientists, and anyone seeking to delve into the captivating realm of topological graph theory. Whether you are a seasoned researcher, a budding student, or simply a curious explorer of the intricate world of graphs and networks, this book promises an enlightening and intellectually stimulating experience. If you like this book, write a review!
Feedback Systems
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Author : Karl Johan Åström
language : en
Publisher: Princeton University Press
Release Date : 2021-02-02
Feedback Systems written by Karl Johan Åström and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-02 with Technology & Engineering categories.
The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
Twenty Lectures On Algorithmic Game Theory
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Author : Tim Roughgarden
language : en
Publisher: Cambridge University Press
Release Date : 2016-09-01
Twenty Lectures On Algorithmic Game Theory written by Tim Roughgarden and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-01 with Computers categories.
Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.
Networks Of The Brain
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Author : Olaf Sporns
language : en
Publisher: MIT Press
Release Date : 2010-10-01
Networks Of The Brain written by Olaf Sporns and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-01 with Medical categories.
An integrative overview of network approaches to neuroscience, exploring the origins of brain complexity and the link between brain structure and function “This is where we should be looking for solutions to the great mysteries of life and the mind.” —American Scientist Over the last decade, the study of complex networks has expanded across diverse scientific fields. Increasingly, science is concerned with the structure, behavior, and evolution of complex systems ranging from cells to ecosystems. In Networks of the Brain, Olaf Sporns describes how the integrative nature of brain function can be illuminated from a complex network perspective. Highlighting the many emerging points of contact between neuroscience and network science, the book serves to introduce network theory to neuroscientists and neuroscience to those working on theoretical network models. Sporns emphasizes how networks connect levels of organization in the brain and how they link structure to function, offering an informal and nonmathematical treatment of the subject. Networks of the Brain provides a synthesis of the sciences of complex networks and the brain that will be an essential foundation for future research.
Condensed Matter Field Theory
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Author : Alexander Altland
language : en
Publisher: Cambridge University Press
Release Date : 2010-03-11
Condensed Matter Field Theory written by Alexander Altland and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-11 with Science categories.
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
Machine Learning In Chemistry
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Author : Hugh M. Cartwright
language : en
Publisher: Royal Society of Chemistry
Release Date : 2020-07-15
Machine Learning In Chemistry written by Hugh M. Cartwright and has been published by Royal Society of Chemistry this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-15 with Science categories.
Progress in the application of machine learning (ML) to the physical and life sciences has been rapid. A decade ago, the method was mainly of interest to those in computer science departments, but more recently ML tools have been developed that show significant potential across wide areas of science. There is a growing consensus that ML software, and related areas of artificial intelligence, may, in due course, become as fundamental to scientific research as computers themselves. Yet a perception remains that ML is obscure or esoteric, that only computer scientists can really understand it, and that few meaningful applications in scientific research exist. This book challenges that view. With contributions from leading research groups, it presents in-depth examples to illustrate how ML can be applied to real chemical problems. Through these examples, the reader can both gain a feel for what ML can and cannot (so far) achieve, and also identify characteristics that might make a problem in physical science amenable to a ML approach. This text is a valuable resource for scientists who are intrigued by the power of machine learning and want to learn more about how it can be applied in their own field.
Fundamentals Of Brain Network Analysis
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Author : Alex Fornito
language : en
Publisher: Academic Press
Release Date : 2016-03-04
Fundamentals Of Brain Network Analysis written by Alex Fornito and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-04 with Medical categories.
Fundamentals of Brain Network Analysis is a comprehensive and accessible introduction to methods for unraveling the extraordinary complexity of neuronal connectivity. From the perspective of graph theory and network science, this book introduces, motivates and explains techniques for modeling brain networks as graphs of nodes connected by edges, and covers a diverse array of measures for quantifying their topological and spatial organization. It builds intuition for key concepts and methods by illustrating how they can be practically applied in diverse areas of neuroscience, ranging from the analysis of synaptic networks in the nematode worm to the characterization of large-scale human brain networks constructed with magnetic resonance imaging. This text is ideally suited to neuroscientists wanting to develop expertise in the rapidly developing field of neural connectomics, and to physical and computational scientists wanting to understand how these quantitative methods can be used to understand brain organization. - Winner of the 2017 PROSE Award in Biomedicine & Neuroscience and the 2017 British Medical Association (BMA) Award in Neurology - Extensively illustrated throughout by graphical representations of key mathematical concepts and their practical applications to analyses of nervous systems - Comprehensively covers graph theoretical analyses of structural and functional brain networks, from microscopic to macroscopic scales, using examples based on a wide variety of experimental methods in neuroscience - Designed to inform and empower scientists at all levels of experience, and from any specialist background, wanting to use modern methods of network science to understand the organization of the brain
Medium Messenger Transmission
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Author : Sybille Krämer
language : en
Publisher:
Release Date : 2015
Medium Messenger Transmission written by Sybille Krämer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Communication categories.
Medium, Messenger, Transmission uses the figure of the messenger as a key metaphor for the function of all transmission media.
The Nature Of Spectacle
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Author : Jim Igoe
language : en
Publisher: University of Arizona Press
Release Date : 2017-09-12
The Nature Of Spectacle written by Jim Igoe and has been published by University of Arizona Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-12 with Business & Economics categories.
"A thoughtful treatise on how popular representations of nature, through entertainment and tourism, shape how we imagine environmental problems and their solutions"--Provided by publisher.
5000 Years Of Geometry
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Author : Christoph J. Scriba
language : en
Publisher: Birkhäuser
Release Date : 2015-04-22
5000 Years Of Geometry written by Christoph J. Scriba and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-22 with Mathematics categories.
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)